tangent space

== English == === Noun === tangent space (plural tangent spaces) (topology, differential topology) An n-dimensional vector space that represents the set of all vectors tangent to given n-dimensional differentiable manifold M at point x. ==== Usage notes ==== Typically denoted TxM, although the manifold may be omitted if understood. More strictly, for any smooth curve in M passing through x, its derivative at x is a vector in TxM. ==== Holonyms ==== tangent bundle ==== Related terms ==== cotangent space ==== Translations ==== === Further reading === Differential topology on Wikipedia.Wikipedia Differential geometry on Wikipedia.Wikipedia